Given a normal distribution with μ = 50 and o= 10, find the probability that X assumes a value between 45 and 62. JUX) и X
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- 24 X shows a normal distribution with a mean of µ=50 and a standard deviation of σ=10. What standard z value does the value x=55 convert to? a) 1.0 B) 0 NS) 1.5 D) 2.0 TO) 0.5A Normal distribution has mean =28 and a standard deviation =5. A) find the z score corresponding to x =23. B) find the z score corresponding to x =39 C) find the raw score corresponding to z = -2 D) find the raw score corresponding to z = 1.7None
- Assume that X has a normal distribution, and find the indicated probability. 7) The mean is μ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is between 14.3 and 16.1. A) 0.1587 B) 0.6826 C) 0.8413 D) 0.3413 7)Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75Assume a poison distribution if A= 0.5, find p(x=1) the A represents a symbol
- Consider a normal distribution curve where 70-th percentile is at 12 and the 45-th percentile is at 7. Use this information to find the mean, μ, and the standard deviation, o, of the distribution. a) με b) σ =Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a mean of μ=1.03 and a standard deviation of σ=0.02 kg.a) What is the probability that any tea box will weigh less than 1 kg?b) What is the probability that any tea box will weigh higher than 1,06 kg?33. Let X have a Nonstandard Normal Distribution with u = 55 and o = 8. Find P(X < 59). C. 0.70146 A. 0.68146 B. 0.69146 D. 0.71146
- . Sketch and label the curve and shade the area indicated in the example. • Show any scratch work/ make note of, or list the function(s) that you used, such as "normal distribution" or "inverse cdf," "Complement rule," etc. Don't worry about the format for this, I want you to have these notes for the final :) • Round your answer to four places after the decimal. • You may use the desmos normal distribution calculator.10 16) Which distribution is used to test the claim that the standard deviation of the ages (in years) of when girls first learn to ride a bike is equal to the standard deviation of the ages (in years) when boys first lean to ride a bike? A) Normal B) t C) chi-square D) FThe random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
